Finding the Third Proportional to 45,876 and 100,164

Step by Step Solution

1. Step 1: Write the proportion equation
   45,876 : 100,164 = 100,164 : x
2. Step 2: Convert to fraction form
   45,876/100,164 = 100,164/x
3. Step 3: Cross multiply
   45,876x = 100,164 × 100,164
4. Step 4: Simplify right side
   45,876x = 10,032,826,896
5. Step 5: Solve for x
   x = 10,032,826,896/45,876
6. Step 6: Final answer
   x = 218,694.46